"A" Transformations

Which of the following are vertical stretches?

• $y=2x$

• $y=\frac{1}{2}x$

• $y=-1x^2$

• $y=\frac{2}{3}\sqrt{x}$

• none of these

Which of the following are vertical reflections about x axis?

• $y=2x$

• $y=\frac{1}{2}x$

• $y=-1x^2$

• $y=\frac{2}{3}\sqrt{x}$

• none of these

Which of the following are vertical compressions?

• $y=2x$

• $y=\frac{1}{2}x$

• $y=-1x^2$

• $y=\frac{2}{3}\sqrt{x}$

• none of these

Which of the following has a domain restriction?

• $y=2x$

• $y=\frac{1}{2}x$

• $y=-1x^2$

• $y=\frac{2}{3}\sqrt{x}$

• none of these

Which of the following has a range restriction?

• $y=2x$

• $y=\frac{1}{2}x$

• $y=-1x^2$

• $y=\frac{2}{3}\sqrt{x}$

• none of these

Tags

CCSS.HSF-BF.B.4D

Which of the following has a domain of all real numbers?

• $y=2x$

• $y=\frac{1}{2}x$

• $y=-1x^2$

• $y=\frac{2}{3}\sqrt{x}$

• none of these

Which of the following has a range of all real numbers?

• $y=2x$

• $y=\frac{1}{2}x$

• $y=-1x^2$

• $y=\frac{2}{3}\sqrt{x}$

• none of these

Which of the following passes through (0,0)?

• $y=2x$

• $y=\frac{1}{2}x$

• $y=-1x^2$

• $y=\frac{2}{3}\sqrt{x}$

• none of these

You have  a function f(x) and you want a transformation that is a vertical reflection, then y= af(x) means __________

•  $a<0$  

•  $a\le0$   

•   $a>0$  

•  $a\ge0$  
  

• none of these

Tags

CCSS.HSF.BF.B.3

You have  a function f(x) and you want a transformation that is a vertical stretch, then y= af(x) means __________

•  $a<-1$  

•  $a\le-1$   

•   $a>1$  

•  $a\ge1$  
  

• none of these